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Finding the Fourth Proportional to 97.72, 134.87 and 56.29

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Solution

The fourth proportional to 97.72, 134.87 and 56.29 is: 77.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.72 : 134.87 = 56.29 : x
  2. Step 2: Convert to fraction form
    97.72/134.87 = 56.29/x
  3. Step 3: Cross multiply
    97.72x = 134.87 × 56.29
  4. Step 4: Simplify right side
    97.72x = 7,591.09
  5. Step 5: Solve for x
    x = 7,591.09/97.72
  6. Step 6: Final answer
    x = 77.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.